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Q.

Six particles each of mass $' m'$ are placed at six vertices $A, B, C$ . $D, E$ and $F$ of a regular hexagon of side $' a'$ . A seventh particle of mass $' M'$ is kept at centre $' O'$ of the hexagon. Find net force on ' $M$ ' if particle at $A$ is removed.

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a

$\frac{G M m}{a^{}} (towards D)$

b

$0$

c

$\frac{G M m}{a^{2}} (towards D)$

d

None of the above

answer is C.

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Detailed Solution

When particle at $A$ is removed then $F_{A}$ is removed. So, there is no force to cancel $F_{D}$ .

$F_{net} = F_{D} = \frac{G M m}{a^{2}} (towards D)$

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Six particles each of mass 'm' are placed at six vertices A,B,C. D,Eand F of a regular hexagon of side 'a'. A seventh particle of mass 'M' is kept at centre 'O' of the hexagon. Find net force on ' M ' if particle at Ais removed.